How to solve question 22?

1.	How to solve question 22?
Answer» Answer: ABO + OBE = 180° 165 + OBE = 180 OBE = 180 - 165 = 15 CEB = 75° [ Alternate interior ANGLES] CEB + BEO = 180 [LINEAR PAIR] BEO = 180 - 75 = 105 In triangle BEO, EBO + BEO + BOE ( or BOC) = 180 [ Interior Angle Sum property] 15 + 105 + BOC = 180 BOC = 180 - 120 BOC = 60°

Answer»

Answer:

ABO + OBE = 180°

165 + OBE = 180

OBE = 180 - 165 = 15

CEB = 75° [ Alternate interior ANGLES]

CEB + BEO = 180 [LINEAR PAIR]

BEO = 180 - 75 = 105

In triangle BEO,

EBO + BEO + BOE ( or BOC) = 180 [ Interior Angle Sum property]

15 + 105 + BOC = 180

BOC = 180 - 120

BOC = 60°

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